Greatest Common Factor of 4235 and 4240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4235, 4240 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4235 and 4240 is 5.

GCF(4235,4240) = 5

GCF of 4235 and 4240

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4235 and 4240

GCF of 4235 and 4240 is 5

Prime Factorization of 4235


5 4235
7 847
11 121
11 11
1

Prime factors of 4235 are 5,7,11. Prime factorization of 4235 in exponential form is:

4235 = 51×71×112

Prime Factorization of 4240


2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 4240 are 2,5,53. Prime factorization of 4240 in exponential form is:

4240 = 24×51×531

∴ So by taking common prime factors GCF of 4235 and 4240 is 5

Greatest Common Factor of 4235 and 4240 by matching factors method

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1,5,7,11,35,55,77,121,385,605,847,4235

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Greatest Common Factor

We found the factors and prime factorization of 4235 and 4240. The biggest common factor number is the GCF number.
So the greatest common factor 4235 and 4240 is 5.

Also check out the Least Common Multiple of 4235 and 4240

Properties of GCF 4235 and 4240

(i) The GCF of 4235 and 4240 is associative

GCF of 4235 and 4240 = GCF of 4240 and 4235

Related Greatest Common Factor of 4235

Related Greatest Common Factor of 4240

Frequently Asked Questions on GCF of 4235 and 4240

1. What is the GCF of 4235 and 4240?

Answer: GCF of 4235 and 4240 is 5.

2. What are the Factors of 4235?

Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.

3. What are the Factors of 4240?

Answer: Factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240. There are 20 integers that are factors of 4240. The greatest factor of 4240 is 4240.

4. How to Find the GCF of 4235 and 4240?

Answer:

Greatest Common Factor of 4235 and 4240 = 5

Step 1: Find the prime factorization of 4235

4235 = 5 x 7 x 11 x 11

Step 2: Find the prime factorization of 4240

4240 = 2 x 2 x 2 x 2 x 5 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4235 and 4240 is 5